The correction about distorted wavefront of discrete deformable mirror is simulated by using the influence function, and the simulated correction result is fitted by super-Gaussian filter function. Consequently, a quantitative relationship between the crosslinking value of deformable mirror and the smooth factor of super-Gaussian filter function is determined, and a prediction model for correction effect on distorted wavefront of discrete deformable mirror based on filter function is established and improved. The validity and adaptability of the prediction model are verified and analysed for annular beams with distorted wavefront. In practical applications, the prediction model can be used to predict the correction effect of deformable mirror for laser beams with different wavefronts conveniently and accurately as long as the driver spacing and crosslinking values of the discrete deformable mirror are given.